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Finding the Fourth Proportional to 6,973.22, 9,616.61 and 4,738.43

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Solution

The fourth proportional to 6,973.22, 9,616.61 and 4,738.43 is: 6,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.22 : 9,616.61 = 4,738.43 : x
  2. Step 2: Convert to fraction form
    6,973.22/9,616.61 = 4,738.43/x
  3. Step 3: Cross multiply
    6,973.22x = 9,616.61 × 4,738.43
  4. Step 4: Simplify right side
    6,973.22x = 45,567,561.55
  5. Step 5: Solve for x
    x = 45,567,561.55/6,973.22
  6. Step 6: Final answer
    x = 6,534.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.